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Home » Answer:** \(\boxed50^\circ\) - Groen Casting

Answer:** \(\boxed50^\circ\) - Groen Casting

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Let the integers be \( x \) and \( x - 4 \), with \( x > 0 \), \( x(x - 4) = 120 \)

📌 Expand: \( x^2 - 4x = 120 \) → \( x^2 - 4x - 120 = 0 \)

📌 Factor: \( (x - 12)(x + 10) = 0 \) → \( x = 12 \) (since \( x > 0 \))

📌 Larger integer: \( 12 \)

📌 A car travels 120 miles in 3 hours. If it continues at the same speed, how many miles will it travel in 7 hours?

📌 Speed = \( \frac{120 \text{ miles}}{3 \text{ hours}} = 40 \text{ mph} \)

📌 Distance in 7 hours: \( 40 \times 7 = 280 \) miles

📌 The sum of the squares of two consecutive integers is 145. What is the larger integer?

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Thus, the product is divisible by \( 8 \times 3 \times 5 = 120 \).
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